Extensions 1→N→G→Q→1 with N=Q8:2S3 and Q=C4

Direct product G=NxQ with N=Q8:2S3 and Q=C4
dρLabelID
C4xQ8:2S396C4xQ8:2S3192,584

Semidirect products G=N:Q with N=Q8:2S3 and Q=C4
extensionφ:Q→Out NdρLabelID
Q8:2S3:1C4 = Dic3:7SD16φ: C4/C2C2 ⊆ Out Q8:2S396Q8:2S3:1C4192,347
Q8:2S3:2C4 = Q8:3(C4xS3)φ: C4/C2C2 ⊆ Out Q8:2S396Q8:2S3:2C4192,376
Q8:2S3:3C4 = M4(2).22D6φ: C4/C2C2 ⊆ Out Q8:2S3484Q8:2S3:3C4192,382
Q8:2S3:4C4 = C42.196D6φ: C4/C2C2 ⊆ Out Q8:2S3484Q8:2S3:4C4192,383
Q8:2S3:5C4 = C42.56D6φ: C4/C2C2 ⊆ Out Q8:2S396Q8:2S3:5C4192,585
Q8:2S3:6C4 = C24.54D4φ: C4/C2C2 ⊆ Out Q8:2S3484Q8:2S3:6C4192,704
Q8:2S3:7C4 = C24.100D4φ: trivial image484Q8:2S3:7C4192,703


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